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10141243033120 = 25573211893933
BaseRepresentation
bin1001001110010011000100…
…1100000100011000100000
31022220111022122220202110021
42103210301030010120200
52312123231204024440
633322453413243224
72064452312332003
oct223446114043040
938814278822407
1010141243033120
11325a971346361
121179535933514
135874133cac74
14270ba588d53a
15128be4d5084a
hex93931304620

10141243033120 has 72 divisors (see below), whose sum is σ = 24291385801956. Its totient is φ = 4000928421888.

The previous prime is 10141243033079. The next prime is 10141243033121. The reversal of 10141243033120 is 2133034214101.

It can be written as a sum of positive squares in 6 ways, for example, as 6427867784976 + 3713375248144 = 2535324^2 + 1927012^2 .

It is not an unprimeable number, because it can be changed into a prime (10141243033121) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5094327 + ... + 6799606.

Almost surely, 210141243033120 is an apocalyptic number.

10141243033120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10141243033120 is an abundant number, since it is smaller than the sum of its proper divisors (14150142768836).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10141243033120 is an equidigital number, since it uses as much as digits as its factorization.

10141243033120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11894094 (or 11894013 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 10141243033120 its reverse (2133034214101), we get a palindrome (12274277247221).

The spelling of 10141243033120 in words is "ten trillion, one hundred forty-one billion, two hundred forty-three million, thirty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 73 80 146 160 292 365 584 730 1168 1460 2336 2920 5329 5840 10658 11680 21316 26645 42632 53290 85264 106580 170528 213160 426320 852640 11893933 23787866 47575732 59469665 95151464 118939330 190302928 237878660 380605856 475757320 868257109 951514640 1736514218 1903029280 3473028436 4341285545 6946056872 8682571090 13892113744 17365142180 27784227488 34730284360 63382768957 69460568720 126765537914 138921137440 253531075828 316913844785 507062151656 633827689570 1014124303312 1267655379140 2028248606624 2535310758280 5070621516560 10141243033120